Search a number
-
+
38037152053 is a prime number
BaseRepresentation
bin100011011011001100…
…001110000100110101
310122011212121112022101
4203123030032010311
51110400002331203
625250220102101
72514411313015
oct433314160465
9118155545271
1038037152053
1115149a8735a
127456694931
133782515684
141baba23c45
15ec951241d
hex8db30e135

38037152053 has 2 divisors, whose sum is σ = 38037152054. Its totient is φ = 38037152052.

The previous prime is 38037152051. The next prime is 38037152071. The reversal of 38037152053 is 35025173083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20232786564 + 17804365489 = 142242^2 + 133433^2 .

It is a cyclic number.

It is not a de Polignac number, because 38037152053 - 21 = 38037152051 is a prime.

It is a super-2 number, since 2×380371520532 (a number of 22 digits) contains 22 as substring.

Together with 38037152051, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38037152051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19018576026 + 19018576027.

It is an arithmetic number, because the mean of its divisors is an integer number (19018576027).

Almost surely, 238037152053 is an apocalyptic number.

It is an amenable number.

38037152053 is a deficient number, since it is larger than the sum of its proper divisors (1).

38037152053 is an equidigital number, since it uses as much as digits as its factorization.

38037152053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 38037152053 in words is "thirty-eight billion, thirty-seven million, one hundred fifty-two thousand, fifty-three".